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Finding the Fourth Proportional to 256,997.64, 354,651.26 and 142,269.72

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Solution

The fourth proportional to 256,997.64, 354,651.26 and 142,269.72 is: 196,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,997.64 : 354,651.26 = 142,269.72 : x
  2. Step 2: Convert to fraction form
    256,997.64/354,651.26 = 142,269.72/x
  3. Step 3: Cross multiply
    256,997.64x = 354,651.26 × 142,269.72
  4. Step 4: Simplify right side
    256,997.64x = 50,456,135,457.85
  5. Step 5: Solve for x
    x = 50,456,135,457.85/256,997.64
  6. Step 6: Final answer
    x = 196,329.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.